Instantaneous power refers to the power consumed at a particular point in time
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Part A: 3.3V 2V In a network with two or more sources, the current or voltage for any component is the algebraic sum of the effects produced by each source acting separately Principle of duality in context of electrical networks states that. A dual of a relationship is one in which current and voltage are interchangeable. Two networks are dual to each other if one has mesh equation numerically identical to others node equation instantaneous power refers to the power consumed at a particular point in time A phenomenon in which an external force or a vibrating system forces another system around it to vibrate with greater amplitude at a specified frequency of operation. The quality factor Q for the circuit is the electric energy stored in the circuit divided by the energy dissipated in one period. Part B & C 11 a)i) Convert Voltage Source into current source Apply KVL and find the loop current Repeat the Process for the second source Add Both the currents to get current through 5 Ohms Current through 5 ohm is :0.2A ii) Mesh Equations Loop1: 2i1+3i2-3i3=0 Loop2:-2i1+i2+4i3=0 i1-i2=1A Solving we get i1=1.5A, i2=0.5A,i3=0.9A 11 bi) Apply Nodal Analysis method Power Delivered: 3.3w ii) I = 3 (2/( 2 + 2)) = 1.5 A,V=1.5 *2=3V 12a) For the circuit shown below, find the current L I through 6 Ω resistor using Thevenin’s theorem. Step 1: VTH= 28V Thevenin’s resistance RTH =4.66Ohms Thevenin’s Equivalent Circuit IL=2.6A 12 b) For the circuit shown below, find the value of RL that absorbs maximum power from the circuit and the corresponding power under this condition. Case 1: Case 2: Case 3: Vab =10 v To computute RTh RTh =10ohms Equivalent Circuit the maximum power dissipated to RL= 0.625 watts. 13 a i) 13 aii) RN= 7.5ohm+johms
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Equations Over Damped, Under Damped and Critically Damped Phasor Representation 14b) i(0) _ 4 A v(0)=15V s1 _ _11.978, s2 _ _0.5218 i(t)=IS+A1e-11.97t+A2e-0.5218t A2 _ 0.0655 A1 _ _0.0655 iR(t)= 15. a) Statement : Dot Convention in Coupled Circuits is used to establish the choice of correct sign for the mutually induced voltages in coupled circuits. Circular dot marks and/or special symbols are placed at one end of each of two coils which are mutually coupled to simplify the diagrammatic representation of the windings around its core. Circuit Diagram Analysis with equation 15.b i)Circuit Diagram Equation: Explanation with theory 15bii) Answers :−1.5, 2.5, 3.5 H; 5.5, 9.5, −3.5 H. 16a) Tie Set Matrix-2 Marks Determinant Matrix -2 Marks possible number of trees = 12 The corresponding graph, tree, co-tree, and loops 1, 2, 3:4 Marks Loop Current Matrix-2 Marks 4 Marks 16b) Possible Tree and Co-Tree (3 Marks) Tie-set schedule:((6 Marks) Tie Set Matrix The branch impedance matrix The loop impedance matrix The loop equations :(6 Marks) x = 4.1666 A, y = 1.16666 A, z = 2.5 A The branch currents I1 = x = 4.1666 A, I2 = y = 1.6666 A, I3 = z = 2.5 A, I4 = x − z = 1.6666 A, I5 = −x + y = −2.5 A, I6 = −y + z = 0.8334 A The branch voltages V1 = 5I1 − 50 = 29.167 V, V2 = 10I2 = 16.666 V, V3 = 5I3 = 12.50 V, V4 = 10I4 = 16.666 V, V5 = 5I5 = −12.50 V, V6 = 5I6 = 4.167 V Download 1.24 Mb. Share with your friends:
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